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1387067010 = 235721039161
BaseRepresentation
bin101001010101100…
…1111011010000010
310120200000022020020
41102223033122002
510320042121020
6345345354310
746241606100
oct12253173202
93520008206
101387067010
11651a65a7a
12328638996
131914a0c14
14d2306c70
1581b8cc40
hex52acf682

1387067010 has 96 divisors (see below), whose sum is σ = 3910488192. Its totient is φ = 313931520.

The previous prime is 1387066999. The next prime is 1387067057. The reversal of 1387067010 is 107607831.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146830 + ... + 155990.

It is an arithmetic number, because the mean of its divisors is an integer number (40734252).

Almost surely, 21387067010 is an apocalyptic number.

1387067010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1387067010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955244096).

1387067010 is an abundant number, since it is smaller than the sum of its proper divisors (2523421182).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1387067010 is a wasteful number, since it uses less digits than its factorization.

1387067010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9288 (or 9281 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 1387067010 is about 37243.3485336644. The cubic root of 1387067010 is about 1115.2335196980.

The spelling of 1387067010 in words is "one billion, three hundred eighty-seven million, sixty-seven thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 103 105 147 206 210 245 294 309 490 515 618 721 735 1030 1442 1470 1545 2163 3090 3605 4326 5047 7210 9161 10094 10815 15141 18322 21630 25235 27483 30282 45805 50470 54966 64127 75705 91610 128254 137415 151410 192381 274830 320635 384762 448889 641270 897778 943583 961905 1346667 1887166 1923810 2244445 2693334 2830749 4488890 4717915 5661498 6605081 6733335 9435830 13210162 13466670 14153745 19815243 28307490 33025405 39630486 46235567 66050810 92471134 99076215 138706701 198152430 231177835 277413402 462355670 693533505 1387067010